Make Tileable 45° Rotated Stripes
For a 45° angle that can be done from generated texture coordinates with &quot;X+Y distance&quot; and the euclidian distance from the square center.


The node tree is in two parts:

Top line calculates the main diagonals
Bottom line adds random to it

top line
Add X + Y or 1 - X + Y to invert the direction.
Take the modulo in order to repeat regularly the diagonals.
Plug it back as X to the noise texture.
bottom line
This part is to add random variations along the diagonal.
As we want it to be symetrical, we take the distance from the center.
Then we divide the value so that it as less influence (compared to the main diagonal) for the noise texture.
And plug it as Y input of the noise texture.
noise texture
Use its scale to play on the thickness of the lines (adapt the Y influence scale in consequence).